MathDB
Inscribed Circle

Source:

December 9, 2005
trigonometrygeometrytrapezoidangle bisector

Problem Statement

A circle is inscribed in quadrilateral ABCD,ABCD, tangent to AB\overline{AB} at PP and to CD\overline{CD} at Q.Q. Given that AP=19,PB=26,CQ=37,AP=19, PB=26, CQ=37, and QD=23,QD=23, find the square of the radius of the circle.